Thermodynamics and statistical physics

FYS2160 autumn 2020

FYS2160 fall semester 2020

Communication teachers <-> students

• Lectures all digital• Zoom (realtime)• Recorded lectures (Published at time of lectures)• Watch lectures together (physically, skype,Hangouts...) to

discuss questions

• Padlet: Q&A https://uio.padlet.org/dagkristiandysthe/FYS2160_2020

• Canvas: Sign up, hand in assignments, feedback• Vortex: all else (course material, messages)

Assignments

Weekly excercises• Numerous types

• analytical calculations• numerical• data analysis• conceptual questions

• Group sessions and “regneverksted” for aid

Experiment + MD lab• 8 hour lab day• hand in report before you

leave• reports must be passed to

take exam

Oblig• 3 of 4 must be passed to

take exam• Hand in

• On Canvas• Formats:

• PDF (preferably LaTeX)• Jupyter notebooks• Matlab live scripts

• Feedback on Canvas

Group sessions. Vidar:

Thermodynamics• Macroscopic• Continuum matter• Differentiable• Necessary relations

based on some axioms• Always true for all matter• Necessary tool for theory• Always present in applications

(engineering, chemistry, geoscience...)

• All properties of matter (DHm, DSv, cV, l, D) must be measured

Statistical mechanics• Microscopic• Discrete particles• Mechanics• Statistical behaviour of

simplified models

• Bottom up explanation of thermodynamics• Properties of model

matter (DHm, DSv, cV, l, D) can be calculated and measured in simulation

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Simulation of a model system

• But statistical mechanics defines how to calculate thermodynamic properties from simulation of model systems.

• This makes stat. mech. even more important in the era of computers!• This is why computation should be part of your thermydyn. & stat. mech.

curriculum!

Quiz based on three basic statements

Thermodynamics• Energy is conserved

• Ideal gas equation of state:

𝑃𝑉 = 𝑛𝑅𝑇(the idea of indivisible units (atoms) is hidden in there!)

Stat. mech.• Temperature equals the

kinetic energy of the particles:

𝐸! =12𝑚𝑣

" =32𝑘#𝑇

• Ideal gas equation of state:

𝑃𝑉 = 𝑁𝑘#𝑇

Concept quiz

• The last question introduced heat• Heat and work are central concepts in thermodynamics

• The following set of questions probes your understanding of heat and temperature• To help visualize each situation, think of a group of friends in

a kitchen or cafeteria. Imagine that they are observant and interested in understanding common phenomena. They explain their ideas to one another.• For each question, choose the answer that is closest to your

understanding• You will have 1 minute per question

Heat

Exam

• New form of exam: 2 days home exam• Broader range of knowledge and skills can be tested• Conceptual, analytical, numerical and data analysis• Oblig and Exp/MD lab exercises will be relevant training

• Exam is published: 9. December kl. 09:00• Deadline for delivery: 11. December kl. 09:00• Handling of exam: Inspera• Deadline for withdrawing: November 1

Lab exercises• 2 parts: Experiment and molecular dynamics (MD)

simulations• Duration: 8 hours• Hand in report before you leave. Pass is compulsory!• Covid-19 precautions: only 4 students can run

experiments simultaneously (2 groups of 2 students)• First lab: weeks 36 & 37: • (Tue), Wed, Thu, Fri, 08-16 or 10-18

• Sign up for specific time slots on Canvas now